JSFiddle - React, Tailwind, and code Playground

HTML

<script src="http://code.jquery.com/ui/1.11.1/jquery-ui.js"></script>
<script src="http://code.jquery.com/jquery-1.10.2.js"></script>
<link rel="stylesheet" href="http://code.jquery.com/ui/1.11.1/themes/smoothness/jquery-ui.css">
<link rel="stylesheet" href="https://ajax.googleapis.com/ajax/libs/jqueryui/1.8/themes/base/jquery.ui.all.css">
<script src="//code.jquery.com/jquery-1.10.2.js"></script>
<script src="//code.jquery.com/ui/1.11.1/jquery-ui.js"></script>Date:
<div id="datepicker"></div>

JavaScript

var startDate = '2014-08-05';
var endDate = '2015-08-05';
var numOfRows = 3;
var numofMonthPerRow = 5;
var strDateFormat = 'yy-mm-dd';

$(function () {
    $("#datepicker").datepicker({
        hideIfNoPrevNext: true,
        numberOfMonths: [numOfRows, numofMonthPerRow],
        defaultDate: new Date(startDate),
        minDate: new Date(startDate),
        maxDate: new Date(endDate),
        dateFormat: strDateFormat
    });
    //remove last 2 months as we require only 13 months
    var totalMonths = numOfRows * numofMonthPerRow; // = 15
    
    var requiredMonths = monthDiff(new Date(startDate), new Date(endDate)); // = 12
    
    //Add 1 to difference as we require the month with endDate too
    $("#datepicker > div > div.ui-datepicker-group").slice(requiredMonths - totalMonths + 1).remove();
});

function monthDiff(d1, d2) {
    var months;
    months = (d2.getFullYear() - d1.getFullYear()) * 12;
    months -= d1.getMonth();
    months += d2.getMonth();
    return months <= 0 ? 0 : months;
}